Preimage resistance of LPm kr with r=m-1

  • Authors:
  • Jooyoung Lee;Je Hong Park

  • Affiliations:
  • The Attached Institute of Electronics and Telecommunications Research Institute Yuseong-gu, Daejeon, Republic of Korea 305-390;The Attached Institute of Electronics and Telecommunications Research Institute Yuseong-gu, Daejeon, Republic of Korea 305-390

  • Venue:
  • Information Processing Letters
  • Year:
  • 2010

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Abstract

In this paper, we give a concrete analysis of preimage resistance for a wide class of linearly-dependent permutation-based compression functions. Specifically, we prove the preimage resistance of LPmkr with r=m-1 up to 2^(^k^-^1^)^n^k^-^l^o^g^n queries. As a special case, the preimage resistance of LP362 is proved up to 2^5^n^6^-^l^o^g^n query complexity, closing the gap between the lower bound (=2^4^n^/^5) and the upper bound (=2^5^n^/^6) presented in Rogaway and Steinberger (2008) [9].